Model Theory and Applications

Collection Model Theory and Applications

Organizer(s)
Date(s) 26/03/2018 - 30/03/2018
00:00:00 / 00:00:00
18 18

On PC-exact saturation (joint work with Nick Ramsey and Saharon Shelah)

By Itay Kaplan

A theory T is said to have exact saturation at a (usually singular) cardinal κ if there is a model which is κ- saturated but not κ +- saturated. T has PC-exact saturation at κ if for every T1 containing T (of the same cardinality), there is a model of T1 whose reduct to the language of T is κ-saturated but not κ +-saturated. In a previous work (with Shelah and Simon) we identified exact saturation in simple in NIP theories. By work of Shelah and Malliaris, if a theory has SOP2 then it does not have PC exact saturation. In this talk I will discuss PC exact saturation in the context of simple theories, and also the local analog.

Information about the video

  • Date of recording 30/03/2018
  • Date of publication 03/04/2018
  • Institution IHP
  • Format MP4

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